=========================Cramer_Rule==========================
Say you have two x values you wish to find. If you can write two
independent equations for in the following format, you can use a
simple little method to solve for the unknowns. This assumes you
have known values for everthing but the x values.
y_1 = A1*x_1 +A2*x_2
y_2 = A3*x_1 +A4*x_2
The method involves matrixes and determinats as is show below.
x_1 = | y_1 A2 | / | A1 A2 |
| y_2 A4 | / | A3 A4 |
x_2 = | A1 y_1 | /
| A3 y_2 | / ( A1*A4 - A2*A3 )
The answer is just as follows.
x_1 = (y_1*A4 -A2*y_2 )/( A1*A4 - A2*A3 )
x_2 = (y_2*A1 -A3*y_1 )/( A1*A4 - A2*A3 )